Convergence of Weak Kähler–Ricci Flows on Minimal Models of Positive Kodaira Dimension

Abstract

Listen

Translate article

Studying the behavior of the Kahler–Ricci flow on mildly singular varieties, one is naturally lead to study weak solutions of degenerate parabolic complex Monge–Ampere equations. In this article, the third of a series on this subject, we study the long term behavior of the normalized Kahler–Ricci flow on mildly singular varieties of positive Kodaira dimension, generalizing results of Song and Tian who dealt with smooth minimal models.